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Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems

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$79.00
Order Code:
CB86

 Product Description

by Roland Glowinski

-

2015 / xx + 462 pages / Softcover / ISBN: 978-1-611973-77-8 / List Price $79.00 / SIAM Member Price $55.30 / Order Code CB86

Keywords: variational methods, finite element approximations, alternating direction methods of multipliers (ADMM), operator-splitting methods, fully nonlinear elliptic equations, least-squares and conjugate gradient methods in Hilbert spaces

Preface
Contents
Index

Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by

  • presenting examples of the power and versatility of operator-splitting methods;
  • providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering; and
  • showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems.

About the Author
Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and Emeritus Professor of Université Pierre et Marie Curie (Paris VI). He is a member of the French National Academy of Sciences, of the French National Academy of Technology, and of the Academia Europaea. He is also a Fellow of both SIAM and the AMS and past recipient of the Theodore von Kármán Prize for notable application of mathematics to mechanics and/or the engineering sciences.

 

ISBN: 9781611973778

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